The classification of convex polygons with triangular area or perimeter bisecting deltoids

DOI10.1007/s13366-021-00572-5zbMath1485.52002OpenAlexW3156167274MaRDI QIDQ2118355

Allan Berele, Stefan Catoiu

Publication date: 22 March 2022

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-021-00572-5

zbMATH Keywords

envelopedeltoidarea-bisecting deltoidbisecting areabisecting linebisecting perimeterperimeter-bisecting deltoidtriangular deltoid

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Length, area and volume in real or complex geometry (51M25) Curves in Euclidean and related spaces (53A04) Euclidean analytic geometry (51N20)

Related Items (6)

Bisecting envelopes of convex polygons ⋮ Area computation for triangular area or perimeter bisecting deltoids ⋮ The Pentagonal Pizza Conjecture ⋮ Extreme area and perimeter bisectors in a triangle ⋮ Bisecting the Perimeter of a Triangle ⋮ Dividing the perimeter of a triangle into unequal proportions

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